• 제목/요약/키워드: Eigenvalue Analysis

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고유진동수를 이용한 정림사지 5층 석탑의 구조모델 (Computational Modelling Method by Using the Natural Frequencies of Five-Story Stone Pagoda in Chongnimsa Site)

  • 이성민;이기학;박선우;서만철;이찬희
    • 한국공간구조학회논문집
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    • 제8권5호
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    • pp.67-74
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    • 2008
  • 요즘은 비선형해석과 유한요소해석이 가능하며 또 불연속면을 모델링을 통해 구현할 수 있도록 개발된 컴퓨터 프로그램이 개발되어 사용되고 있다. 그러나 석조구조물의 물성을 파악하지 않고서는 이러한 프로그램을 이용하여 실제거동을 예측하기가 매우 곤란하다. 이를 위해 석재와 석재의 접촉부의 강성의 변수를 사이부재를 가정하는 방식으로 수행하였으며, 실제 고유진동수를 측정하고, 석탑을 다자유도계 구조물로 가정하여 고유치 해석을 한 다음 이론상 고유진동수와 실제고유진동수가 일치하도록 접촉면의 강성을 조절하는 방식으로 모델링을 수행하였다. 연구를 위해 정림사지 오층석탑을 대상으로 구조모델링을 실시하였다. 본 연구결과는 석탑형 문화재에 대해 범용 프로그램을 이용한 구조모델링을 가능하도록 함으로써 주요 석탑형 문화재의 연직하중 뿐 아니라 진동이나 횡력에 대한 구조안전성 평가를 하는 과정에서도 유용할 것으로 기대된다.

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국내 석탑의 강성, 고유진동수 및 감쇠비에 관한 연구 (Study on the Joint Stiffness, Natural Frequency and Damping Ratio of Stone Pagodas in Korea)

  • 이성민;최희수;이기학;이찬희;조영훈
    • 한국공간구조학회논문집
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    • 제18권1호
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    • pp.45-53
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    • 2018
  • Following the earthquake that shook the city of Gyeongju, Korea, in 2016, it became apparent that research on the safety of cultural heritages against the seismic hazards is necessary in Korea. Predictions of how historically significant stone pagodas would behave the earthquakes anticipated in near future, which are the subject of this study, is also required. In this study, the dynamic characteristics of 15 cultural heritage designated stone pagodas of Korea were investigated, including natural frequency and damping ratio, and the stiffness of the stone material and its contact area were determined using eigenvalue analysis by assuming the stone pagodas to be multi-degree-of-freedom structures. The results of this study enable the structural modeling of stone pagodas using a finite element analysis program and the method is expected to be useful in assessing the structural safety of stone pagodas against vertical loads as well as lateral forces, including earthquakes. Also, by identifying the dynamic characteristics of the structures, the results of this study can be utilized as a nondestructive testing method to determine the rigidity of cultural heritage structures and to identify inherent problems. The natural frequencies of the Korean stone pagodas were measured to be within 3.5~8.3Hz, excluding cases with distinct natural frequency results, and it was determined that the natural frequencies of the stone pagodas are influenced by various parameters including the height and joint stiffness of the structures.

축방향 하중을 받는 점탄성물질이 심어진 적층보의 지그재그요소를 이용한 진동해석 (Damped Vibrations of Axially-Stressed Laminated Beams using Zig-Zag Finite Element)

  • 이덕규
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.1-4
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    • 2001
  • Dynamic analysis of laminated beams with a embedded damping layer under tension or compression axial load is investigated. Improved Layer-Wise Zig-Zag Beam Theory and Interdependent Kinematic Relation using the governing equations of motion are incorporated to model the laminated beams with a damping layer and a corresponding beam zig-zag finite element is developed. Flexural frequencies and modal loss actors under tension or compression axial load are calculated based on Complex Eigenvalue Method. The effect of the axial tension and compression load on the frequencies and loss factors is discussed.

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다중 격자 기법을 위한 예조건화된 다단계 시간 전진 기법 (Preconditioned Multistage Time Stepping for the Multigrid Method)

  • 김윤식;권장혁
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 춘계 학술대회논문집
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    • pp.127-133
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    • 2001
  • In this paper, the preconditioned multistage time stepping methods which are popular multigrid smoothers is studied for the compressible flow calculations. Fourier analysis on the local time stepping and block-Jacobi preconditioned residual operators is performed using the linearized 2-D Navier-Stokes equations. It fumed out that block-Jacobi preconditioner has better performance in eigenvalue clustering. They are implemented in the 2-D compressible Euler and Wavier-Stokes calculations with multigrid methods to verify that the block-Jacobi preconditioned multistage time stepping shows better performance in convergence acceleration.

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ASYMPTOTIC ANALYSIS OF THE LOSS PROBABILITY IN THE GI/PH/1/K QUEUE

  • Kim Jeong-Sim
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.273-283
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    • 2006
  • We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

A BIOECONOMIC MODEL OF A RATIO-DEPENDENT PREDATOR-PREY SYSTEM AND OPTIMAL HARVESTING

  • Kar T.K.;Misra Swarnakamal;Mukhopadhyay B.
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.387-401
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    • 2006
  • This paper deals with the problem of a ratio-dependent prey- predator model with combined harvesting. The existence of steady states and their stability are studied using eigenvalue analysis. Boundedness of the exploited system is examined. We derive conditions for persistence and global stability of the system. The possibility of existence of bionomic equilibria has been considered. The problem of optimal harvest policy is then solved by using Pontryagin's maximal principle.

수직펌프의 진동해석 (Vibration Analysis of Vertical Pumps)

  • 홍진선
    • 소음진동
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    • 제9권5호
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    • pp.928-935
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    • 1999
  • Vertical pumps are widely used owing to the fact that they occupy small floor space. In this type of pumps, however, the vibrational problems are very important, since, in many cases, they have less stiffness in comparison with lateral pumps. This study presents a simple solution method for calculating the natural frequencies and modes of vertical pumps. In this study, a mode of a vertical pump was developed and the nondimensional parameters for the vibrational characteristics of it were determined. Added mass was calculated for the effects of water and the transfer matrix method was used.

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구속된 시스템 운동방정식의 수치해석에 관한 연구 (A Study on Numerical Analysis of Equation of Motion for Constrained Systems)

  • 은희창;정헌수
    • 소음진동
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    • 제7권5호
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    • pp.773-780
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    • 1997
  • Using Generalized Inverse Method presented by Udwadia and Kalaba in 1992, we can obtain equations to exactly describe the motion of constrained systems. When the differential equations are numerically integrated by any numerical integration scheme, the numerical results are generally found to veer away from satisfying constraint equations. Thus, this paper deals with the numerical integration of the differential equations describing constrained systems. Based on Baumgarte method, we propose numerical methods for reducing the errors in the satisfaction of the constraints.

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접합부 강성변화를 고려한 단층 래티스 돔의 좌굴해석 (Buckling Analysis for Single Layer Latticed Domes considering the Change of Joint Rigidity)

  • 이후진;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.337-344
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    • 2001
  • This paper is concerned with the change of joint rigidity in estimating the degree of semi-rigidity of connections and the buckling load in a single layer latticed dome. The estimations are based on information about the ratio for the rotational stiffness of the connection to the flexural stiffness of the member and the minimum eigenvalue of a structure for pinned, semi-rigid and completely rigid cases, respectively. Connection characteristics are reflected in the ratio control of joint rigidity for the DOFs to be related using the spring element by FEM.

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